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Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^...

Evaluate :`lim_(xrarry)(cos^2x-cos^2y)/(x^2-y^2)`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
  1. Determine the equation of the straight line through the point (2,3)whi...

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  2. Prove that the derivative of an odd function an ever function .

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  3. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  4. The standard deviation of 32 numbers is 5.If the sum of the numbers is...

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  5. Fird the probability of getting a head when a coin is tossed once. Als...

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  6. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

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  7. If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...

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  8. If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...

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  9. Prove that by using the principle of mathematical induction for all n...

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  10. Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...

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  11. Find the sum of first n terms of 1+3+7+15+31+….

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  12. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  13. A moving straight line always passes through a fixed point (alpha,beta...

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  14. Find equations of all possible circles that touch the y axis at the po...

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  15. A ray of light along the line x-2y+5=0 is reflected from the line 3x-2...

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  16. Find the co-ordinates of vertices of a unit cube where the three concu...

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  17. Prove that lim(xrarr0)sqrt(1-cosx)/xdoes not exist

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  18. Find f'(0)where f(x)=|x+1|+|x-1|.

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  19. Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether...

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  20. Let a statement p:/\ABCis right angle triangle,and another check wheth...

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